CN109256767B - Modeling and iterative process for IPFC installed in parallel lines - Google Patents

Modeling and iterative process for IPFC installed in parallel lines Download PDF

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CN109256767B
CN109256767B CN201811102132.XA CN201811102132A CN109256767B CN 109256767 B CN109256767 B CN 109256767B CN 201811102132 A CN201811102132 A CN 201811102132A CN 109256767 B CN109256767 B CN 109256767B
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祁万春
吴熙
陈曦
程亮
汪惟源
黄俊辉
孙文涛
蔡晖
李辰
张群
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State Grid Jiangsu Electric Power Design Consultation Co ltd
Southeast University
State Grid Jiangsu Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Jiangsu Electric Power Co Ltd
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State Grid Jiangsu Electric Power Design Consultation Co ltd
Southeast University
State Grid Jiangsu Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Jiangsu Electric Power Co Ltd
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]

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Abstract

Aiming at the modeling and iteration process of the IPFC installed on the parallel lines, the modeling method adds virtual buses in the parallel lines 1 and 2 and the parallel lines 3 and 4 installed with the IPFCj 1 、j 2 、k 1 、k 2 Modeling is carried out by using a power injection method, and IPFC is equivalent to node injection power and is injected into the virtual busj 1 、j 2 、k 1 、k 2 And the actual busiAnd then, alternately solving with the network equation to obtain a power flow solution of the network equation containing the IPFC. The difference between the modeling method and the traditional IPFC power injection method is that the virtual bus is not added in the traditional IPFC power injection modeling methodj 1 、j 2 、k 1 、k 2 Directly injecting the equivalent injection power of the IPFC into the bus at the two ends of the circuit where the IPFC is positionedi、j、kTherefore, the power flow of each parallel circuit cannot be correctly reflected when the control targets of the parallel circuits of the IPFC are different. The method can overcome the limitations of the traditional IPFC power injection modeling, and improves the accuracy of the load flow calculation of the power system with the IPFC and the flexibility of the IPFC control mode.

Description

Modeling and iterative process for IPFC installed in parallel lines
Technical Field
The invention relates to the technical field of power system operation analysis and simulation, in particular to a modeling and iteration process for an IPFC (integrated power flow controller) installed on a parallel circuit.
Background
An Interline Power Flow Controller (IPFC) is a typical representative of the third generation FACTS devices, as is a Unified Power Flow Controller (UPFC). IPFC is a more fully functional and powerful FACTS control device than UPFC. On one hand, the power flow control circuit can directly control the power flow on the power transmission line installed on the series part like a UPFC, and can also realize power exchange among lines, thereby controlling the power flow among different lines; on the other hand, the UPFC may cause the current of the adjacent heavy-load line to exceed the limit when controlling the current of the line installed on the UPFC, and the IPFC has the characteristic of orientation, so that the current of the heavy-load line can be directionally and quantitatively carried to the adjacent light-load line, and the influence on the current of other lines is reduced. In addition, since the IPFC transmits power through the dc bus, its transmission of active power is asynchronous. The IPFC can perform power flow control even for two lines belonging to different systems with arbitrary phase angle relationship. In conclusion, the IPFC can flexibly control active power, reactive power, voltage, impedance and power angle of the power system, is convenient for optimizing system operation and improving system transient stability, and has very wide application prospect.
Currently, when load flow calculation is performed on a system containing the IPFC, an equivalent power injection method is often adopted. When a Newton-Raphson method is used for solving a power flow equation containing a control target, a Jacobian matrix of a traditional power flow equation needs to be modified, if a power injection method is adopted, the problem can be solved well, the influence of IPFC on a system is equivalent to nodes on two sides of a corresponding line, an IPFC model can be embedded under the condition that an original node admittance array is not modified, and a formula and experience formed by the Jacobian matrix in traditional power flow calculation are utilized to the maximum extent.
However, as the complexity of domestic circuits is higher, most of the grid frames of 220kV and above are of a parallel double-circuit line structure or even a multi-circuit line structure, the traditional IPFC power injection modeling method directly injects the equivalent injection power of the IPFC into the buses at two ends of the circuit where the IPFC is located, so that the power flow of each circuit of the parallel circuits where the IPFC is located when the control targets of the parallel circuits are different cannot be correctly reflected, and the flexibility of IPFC control and the accuracy of simulation analysis are affected.
Disclosure of Invention
In order to solve the problems, the invention provides a modeling and iteration process aiming at IPFC installed on a parallel circuit, the IPFC modeling method is suitable for modeling the IPFC installed in a power grid with a parallel double-circuit structure in China, can correctly reflect the power flow of each circuit which is connected in parallel when the control targets of the parallel circuits of the IPFC are different, and when a power system simulation research is carried out, the method provided by the invention is adopted to carry out IPFC modeling, the control function of the IPFC can be completely realized, and the method is closer to the actual situation, so that the aim is achievedModeling of IPFC in parallel lines, characterized by: the required modeling IPFC is installed in parallel circuits: IPFC series side coupling transformer Tse1Serially connected to high-voltage line, one end connected to node i and the other end connected to node j via transmission line 1, and serially connected coupling transformer Tse2One end of the power line is connected with the node i, the other end of the power line is connected with the node j through the power transmission line 2, and the line 1 is connected with the line 2 in parallel; series side coupling transformer Tse3One end is connected with a node i, the other end is connected with a node k through a power transmission line 3, and a transformer T is coupled on the series sidese4One end is connected with the node i, the other end is connected with the node k through a power transmission line 4, and the line 3 is connected with the line 4 in parallel.
In a further improvement of the invention, a virtual bus j is added to the parallel lines 1 and 2 and the parallel lines 3 and 4 for installing the IPFC1、j2、k1、k2The virtual bus is arranged between the line and the IPFC series coupling transformer, not an actual bus.
The invention further improves that the IPFC is equivalent to injecting power into an actual bus i and a virtual bus j1、j2、k1、k2The IPFC power injection model installed in the parallel line is as follows:
Figure BDA0001806940660000021
Figure BDA0001806940660000022
Figure BDA0001806940660000023
wherein: vi、θiThe voltage amplitude and the phase angle of the bus i are respectively; vn、θnThe voltage amplitude and the phase angle of a virtual bus of a line n (n is 1-4, the same below) respectively; bsenCoupling the susceptance value of the transformer in series in line n for IPFC; vsen、θsenThe voltage is respectively the voltage amplitude and the phase angle of an ideal voltage source of the transformer at the IPFC serial side; pis、QisRespectively injecting active power and reactive power to a bus i by the IPFC; pns、QnsThe IPFC injects real and reactive power, respectively, to the virtual bus of line n.
In a further improvement of the invention, n in the line n is 1-4.
The invention provides an iterative process for modeling an IPFC installed on a parallel line, comprising the following steps:
1) the original system state variable adopts a flat starting initial condition. Calculating initial IPFC control quantity V through combined type (5), (6), (8) and (9)senAnd thetasenAnd calculating the initial injection power through the formulas (7) and (8);
2) substituting the injected power into a power flow equation to obtain a new system state variable value;
3) new additional injection power P can be obtained by substituting new system state variables into equations (4), (5) and (6)ns、Qns、P4sThen, the new V can be obtained by simultaneously solving the formulas (8) and (9)senAnd thetasenCan further find Pis、Qis、Q4sA new value of (d);
4) substituting the new injection power and the new value of the system state variable into a power flow equation, judging whether the convergence condition of the formula (10) is met, if not, performing the next iteration, and returning to the step 2);
5) and finishing iteration after meeting the power flow convergence condition.
Aiming at the modeling and iteration process of the IPFC installed on the parallel circuit, the IPFC modeling method provided by the invention realizes the accurate reflection of the power flow of each circuit which is connected in parallel when the control targets of the parallel circuits where the IPFC is located are different by adding the virtual bus and injecting the equivalent injection power of the IPFC into the virtual bus and the installation side bus of the IPFC, solves the limitation of the traditional IPFC power injection method, and can enable the evaluation of the control capability of the IPFC to be closer to the actual condition by adopting the modeling method provided by the invention to establish a model when carrying out simulation research on a power system, thereby having higher reliability.
Drawings
FIG. 1 is a schematic diagram of the IPFC of the present invention installed in a parallel circuit;
FIG. 2 is an equivalent circuit of the IPFC model of the present invention installed in a parallel line;
FIG. 3 is an IPFC power injection model of the modeling method of the present invention.
All R in FIG. 1n、Xn(n is 1-4, the same below) is a line parameter of the line n, respectively represents the resistance and reactance of the line, and ignores the ground admittance of the line; vi、Vj、VkThe voltage amplitudes of the buses i, j and k are respectively; thetai、θj、θkVoltage phase angles of the buses i, j and k respectively;
Figure BDA0001806940660000031
is the line current of line n; pn、QnThe active power flow and the reactive power flow of the line n are obtained;
in FIG. 2, Vsen∠θsenAn ideal voltage source equivalent to the IPFC series side in line n; bsenSeries coupling transformer T for line n of IPFCsenSusceptance value of; v1、V2、V3、V4Are respectively a virtual bus j1、j2、k1、k2Voltage amplitude of (d); theta1、θ2、θ3、θ4Are respectively a virtual bus j1、j2、k1、k2The voltage phase angle of (d); pni、QniThe method comprises the following steps that active power flow and reactive power flow at the i end of a n bus of a line are obtained; lines 1, 2, 3 are IPFC master control lines, Pnref、Qnref(n is 1-3) respectively serving as an active power flow control target and a reactive power flow control target; line 4 is an IPFC auxiliary control line, P4refFor its active power flow control objective, Q4The auxiliary control line is in reactive power flow;
in FIG. 3, Pis、QisRespectively injecting active power and reactive power to the node i by the IPFC; pns、QnsAre respectively provided withInjecting active power and reactive power for the IPFC to the virtual node of the line n; pni0、Qni0Respectively natural power flow at the i end of the n bus of the circuit without IPFC; pnj0、Qnj0The natural power flow of the virtual bus end of the line n without the IPFC is respectively.
Detailed Description
The invention is described in further detail below with reference to the following detailed description and accompanying drawings:
the IPFC modeling method is suitable for modeling the IPFC installed in the power grid of a parallel double-circuit line structure in China, can correctly reflect the power flow of each circuit in parallel when the control targets of the parallel circuits of the IPFC are different, and can completely realize the control function of the IPFC by adopting the method for modeling the IPFC when carrying out simulation research on a power system, and is closer to the actual situation.
The invention aims at the modeling and iteration process of the IPFC installed on the parallel line, and the corresponding power injection model is deduced by using the method. As shown in fig. 1, the topology of the IPFC installed in the parallel line is: IPFC series side coupling transformer Tse1Serially connected to high-voltage line, one end connected to node i and the other end connected to node j via transmission line 1, and serially connected coupling transformer Tse2One end of the power line is connected with the node i, the other end of the power line is connected with the node j through the power transmission line 2, and the line 1 is connected with the line 2 in parallel; series side coupling transformer Tse3One end is connected with a node i, the other end is connected with a node k through a power transmission line 3, and a transformer T is coupled on the series sidese4One end is connected with the node i, the other end is connected with the node k through a power transmission line 4, and the line 3 is connected with the line 4 in parallel.
Virtual bus j is added to parallel lines 1 and 2 and parallel lines 3 and 4 provided with IPFC1、j2、k1、k2The virtual bus is arranged between the line and the IPFC series coupling transformer, not an actually existing bus. An equivalent circuit diagram of the IPFC model installed in the parallel line as shown in fig. 2 is obtained. Tidal flow expression for IPFC-containing circuits is as follows:
Figure BDA0001806940660000041
Figure BDA0001806940660000042
Figure BDA0001806940660000043
the injection power model for the IPFC from fig. 2 is shown in fig. 3. Pni0、Qni0Respectively natural power flow at the i end of the n bus of the circuit without IPFC; pnj0、Qnj0The natural power flow of the virtual bus end of the line n without the IPFC is respectively. The value of the voltage is only related to the voltage magnitude and the phase angle of the bus i and the virtual bus, and the expression is as follows:
Figure BDA0001806940660000044
as can be seen from fig. 3, the injected power and the line power have the following relationship:
Figure BDA0001806940660000045
Figure BDA0001806940660000046
by substituting expressions (1) to (4) for expressions (5) to (6), each additional injection power of the IPFC power injection model can be obtained:
Figure BDA0001806940660000047
Figure BDA0001806940660000048
the active balance between the IPFC self converters can be obtained:
Figure BDA0001806940660000051
equations (7) to (9) constitute a power injection model applied to the IPFC of the parallel line.
Given master line flow Pnref+jQnrefAnd auxiliary control line active P4refThen, P can be substitutednref、Qnref、P4refRespectively substituting the expressions (5) and (6) to obtain the injection power P on the virtual bus side of the main control linens+jQnsAnd the injection active power P at the side of the auxiliary control line virtual bus4s. By observing the equations (8) and (9), if the master control line P is knownns、QnsAnd auxiliary control line P4sSimultaneous solving equations (8) and (9) can directly solve V of the IPFCsen、θsenAnd V of auxiliary control linese4、θse4Further, P can be obtainedis、Qis、Q4s. The convergence conditions are as follows:
Figure BDA0001806940660000052
where ε is the convergence accuracy, Pn、QnFor the main control line n, the actual active power and the reactive power, P4The actual active power of the circuit is controlled as an auxiliary control.
The iterative process of controlling the line flow target at the specified value by the IPFC is as follows:
1) the original system state variable adopts a flat starting initial condition. Calculating initial IPFC control quantity V through combined type (5), (6), (8) and (9)senAnd thetasenAnd calculating the initial injection power by the formulas (7) and (8).
2) And substituting the injected power into a power flow equation to obtain a new system state variable value.
3) New additional injection power P can be obtained by substituting new system state variables into equations (4), (5) and (6)ns、Qns、P4sThen, the new V can be obtained by simultaneously solving the formulas (8) and (9)senAnd thetasenCan further find Pis、Qis、Q4sThe new value of (c).
4) And substituting the new injection power and the new value of the system state variable into the power flow equation, judging whether the convergence condition of the formula (10) is met, if not, performing the next iteration, and returning to the step 2).
5) And finishing iteration after meeting the power flow convergence condition.
In summary, the present invention is a specific method for modeling an IPFC installed in a parallel line.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention in any way, but any modifications or equivalent variations made according to the technical spirit of the present invention are within the scope of the present invention as claimed.

Claims (1)

1. The modeling method for the IPFC installed on the parallel line is characterized by comprising the following steps of: the required modeling IPFC is installed in parallel circuits: IPFC series side coupling transformer Tse1Serially connected to high-voltage line, one end connected to node i and the other end connected to node j via transmission line 1, and serially connected coupling transformer Tse2One end of the power line is connected with the node i, the other end of the power line is connected with the node j through the power transmission line 2, and the line 1 is connected with the line 2 in parallel; series side coupling transformer Tse3One end is connected with a node i, the other end is connected with a node k through a power transmission line 3, and a transformer T is coupled on the series sidese4One end of the power line is connected with the node i, the other end of the power line is connected with the node k through a power transmission line 4, and the line 3 is connected with the line 4 in parallel;
virtual bus j is added to parallel lines 1 and 2 and parallel lines 3 and 4 provided with IPFC1、j2、k1、k2The virtual bus is arranged between the line and the IPFC series coupling transformer and is not an actually existing bus;
equivalent injection of IPFC into real bus i and virtual bus j1、j2、k1、k2The IPFC power injection model installed in the parallel line is as follows:
Figure FDA0003194628020000011
Figure FDA0003194628020000012
Figure FDA0003194628020000013
wherein: vi、θiThe voltage amplitude and the phase angle of the bus i are respectively; vn、θnThe voltage amplitude and the phase angle of the virtual bus of the line n are respectively; bsenCoupling the susceptance value of the transformer in series in line n for IPFC; vsen、θsenThe voltage is respectively the voltage amplitude and the phase angle of an ideal voltage source of the transformer at the IPFC serial side; pis、QisRespectively injecting active power and reactive power to a bus i by the IPFC; pns、QnsThe IPFC injects real and reactive power, respectively, to the virtual bus of line n.
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CN105140914A (en) * 2015-08-17 2015-12-09 东南大学 Method for accessing unified power flow controller (UPFC) into system and three-node power injection model
CN105633974A (en) * 2016-03-03 2016-06-01 甘肃省电力公司风电技术中心 Real-time regional voltage coordination control method

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